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Finding the Fourth Proportional to 1,136.30, 1,704.51 and 405.81

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Solution

The fourth proportional to 1,136.30, 1,704.51 and 405.81 is: 608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.30 : 1,704.51 = 405.81 : x
  2. Step 2: Convert to fraction form
    1,136.30/1,704.51 = 405.81/x
  3. Step 3: Cross multiply
    1,136.30x = 1,704.51 × 405.81
  4. Step 4: Simplify right side
    1,136.30x = 691,707.20
  5. Step 5: Solve for x
    x = 691,707.20/1,136.30
  6. Step 6: Final answer
    x = 608.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.